2906112 has 96 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 860160.

The previous prime is 2906089. The next prime is 2906129. The reversal of 2906112 is 2116092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67563 + ... + 67605.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2906112 is an apocalyptic number.

2906112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2906112 is an abundant number, since it is smaller than the sum of its proper divisors (5742528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2906112 is a wasteful number, since it uses less digits than its factorization.

2906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 2906112 is about 1704.7322370390. The cubic root of 2906112 is about 142.7044280436.

The spelling of 2906112 in words is "two million, nine hundred six thousand, one hundred twelve".